The term used to describe a bimanual coordination task that requires the two hands to simultaneously perform movements that have the same spatial and temporal characteristics is:

Answers

Answer 1

The term used to describe a bimanual coordination task that requires the two hands to simultaneously perform movements that have the same spatial and temporal characteristics is "symmetrical bimanual coordination."

In symmetrical bimanual coordination, both hands are engaged in performing identical or mirror-image movements in terms of spatial and temporal patterns. This type of task often involves movements that are coordinated and synchronized, where the hands move in parallel or symmetrically.

Symmetrical bimanual coordination tasks are commonly studied in the field of motor control and neuroscience to understand the coordination and interaction between the two hands. These tasks help researchers investigate the underlying mechanisms and neural processes involved in coordinating movements between both hands and provide insights into motor planning, motor learning, and the control of bilateral movements.

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Related Questions

calculate the p-value associated with the null hypothesis that 50% of the students at eastern work more than 10 hours a week.

Answers

The p-value associated with the null hypothesis = 0.05

Fail to reject the null hypothesis. The​ P-value is greater than the level of significance.

Candice should reject the null hypothesis as the 50% confidence interval does not contain 10 hours

Small p-values offer proof that the null hypothesis is false. The stronger the evidence is against the null hypothesis, the smaller (closer to 0) the p-value. The null hypothesis is rejected if the p-value is less than or equal to the chosen significance level; otherwise, it is not.

You have the Hypothesis that "students study less than 10 hours, on average, per week"

Symbolically:

H₀:μ≥10hours

H₁:μ<10hours

The significant level for this case study is 50% - 0.05. If the results gotten is less than the significance level, we reject the null hypothesis, but if greater, we fail to reject the null hypothesis.

The p-value of 0.05 is one of the most often used numbers. When the calculated p-values are less than 0.05, the faulty hypothesis is considered to be fraudulent or invalid (subsequently the name invalid theory). Additionally, the faulty theory is taken into consideration to be clear if the value is greater than 0.05.

The edge for that likelihood in our model is 0.05, and it represents the probability that our results will be similar to the invalid speculation. Therefore, if the calculated p-value is less than 0.05, it actually means that there is a very little likelihood that we would have the same results as the flawed hypothesis. Additionally, if the p-value is greater than 0.05, there is a very strong probability that the results will be similar to the flawed speculation, leading us to conclude that it is legitimate.

Therefore,

Fail to reject the null hypothesis. The​ P-value is greater than the level of significance.

The p-value associated with the null hypothesis = 0.05

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What's the slope of this graph

What's the slope of this graph

Answers

Answer:

Slope= -1

Step-by-step explanation:

Rise over run

2 to the right 2 down = 2/-2

Simplify to -1

Step-by-step explanation:

im sorry if this answer going to like not let more people answer but use math. way it helps a lot

when estimating the cost of taking a 300 mile trip, the average cost per mile × 300 is the best way to evaluate the total cost. true false question. true false

Answers

The statement ''When estimating the cost of taking a 300 mile trip, the average cost per mile × 300 is the best way to evaluate the total cost.'' is false because simply multiplying the average cost per mile by 300 does not provide an accurate evaluation of the total cost.

The total cost should be determined by multiplying the distance traveled by the cost per unit of distance, which in this case is the cost per mile.

So the correct way to evaluate the total cost would be to calculate the product of the average cost per mile and the distance traveled, which is 300 miles in this case.

Total Cost = Average Cost per Mile × Distance Traveled

Therefore, the statement is false. Simply multiplying the average cost per mile by 300 does not provide an accurate evaluation of the total cost.

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Solve for θ if cosθ = 0.75. Round answer to the nearest degree.

Answers

The value of θ after solving trigonometric function cosine will be 41.4°.

What are trigonometric functions?

Trigonometric functions are mathematical functions that link right triangle angles to side lengths. Sine (sin), cosine (cos), and tangent (tan) are the most often used trigonometric functions, although there are also inverse trigonometric functions, hyperbolic trigonometric functions, and other related functions.

Trigonometric functions are employed in many different fields, including physics, engineering, navigation, and surveying.

Now,

We can use the inverse cosine function (also known as arccosine or cos⁻¹) to solve for θ:

Cos θ=0.75

θ = cos⁻¹(0.75)

θ =41.4°

We find that θ ≈ 41.4 degrees.

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The exchange rate is 1. 65 Bosnian markas per U. S. Dollar. The price of a refrigerator in Bosnia is 1964 markas while in the U. S. It is $1357. The real exchange rate is approximately

Answers

We will see that the real exchange rate is approximately 1.447 markas per U.S. dollar.

What is the real exchange rate?

Here we need to perform a change of units procedure.

We know that the price of a refrigerator in Bosnia is 1964 markas, while in the US is $1357.

Then we can write the relation:

1964 markas = $1357

Now, we want to find the value in markas for a single dollar, then we divide both sides by 1357 to get:

(1964 markas)/1357 = $1357/1357

1.447 markas = $1

This means that the exchange rate is 1.447 markas per U.S. dollar.

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The net for a cylindrical candy container is shown the container was covered in plastic wrap during manufacturing how many square inches of plastic wrap were used to wrap the container write the answer in terms of pi

7.92pi square inches
7.2pi square inches
3.06pi square inches
2.34pi square inches

Answers

Answer:

What Grade Level is This Supposed to Be?

Help asp 50 points

The graph represents a quadratic function write an equation of the function in standard form

Help asp 50 points The graph represents a quadratic function write an equation of the function in standard

Answers

Answer:

\(f(x)=-x^2 + 11x - 24\)

Step-by-step explanation:

Well for this problem, you want to start off by writing it in factored form.

In factored form, you can represent a quadratic as: \(f(x)=a(x-b)(x-c)\), where x=b, and x=c are zeroes of the function, since plugging them into the function makes one of the factors zero, and multiplying zero by the other factors will just give you zero.

The "a" in front of the two factors generally defines the stretch/compression of the function.

So let's start by plugging in the zeroes into the function, and then we can solve for "a" later: \(f(x) = a(x-3)(x-8)\)

Now let's use one point on the graph, which is not a root/zero to solve for "a". It's important to not use a zero/root since if we use that point the entire thing will be zero regardless of the value of "a"

Luckily we have one point provided that is not a zero and is: (4, 4)

So let's plug it in: \(4=a(4-3)(4-8)\\4=a(1)(-4)\\4=-4a\\a=-1\)

So now let's plug this into the factored form to get: \(f(x)=-(x-3)(x-8)\)

using foil to multiply these two factors you get: -[x^2 -8x - 3x + 24]

Now combine like terms

-[x^2 - 11x + 24]

distribute the negative sign

-x^2 + 11x - 24

Answer:

\( \large \bf \implies{y = { - x}^{2} + 11x - 24}\)

Step-by-step explanation:

Let standard form of quadratic equation be

y = ax² + bx + c

If passes through (3,0) , (8,0) and (4,4)

a(3)² + b(3) + c9a + 3b + c = 0 ... (1)a(8)² + 8b + c = 064a + 8b + c = 0 ... (2)4 = a(4)² + b(4) + c16a + 4b + c = 4 ... (3)(2) - (1)64a + 8b + c - 9a - 3b - c = 0 - 055a + 5b = 0 => 55a = -5bb = -11a ... (4)(3) - (2)16a + 4b + c - 64a - 8b - c = 4 - 0-48a - 4b = 4-48a - 4(-11a) = 4 (from 4)-48a + 44a = 4 => -4a = 4 => a = -1b = -11x(-11) = 119a + 3b + c = 09(-1) + 3(11) + c = 0-9 + 33 + c = 024 + c = 0c = 0 - 24c = -24Therefore, Standard form of quadratic equation y = -x² + 11x -24

determine the measure of angle a in triangle abc, where a(1, 1, 7), b(5, −2, −5), and c(−2, 1, 3). express your answer in degrees rounded to two decimal places.

Answers

The measure of angle A in triangle ABC is approximately 95.59 degrees. By using the dot product formula and the arccosine function, we can calculate the measure of angle A in triangle ABC.

By calculating the vectors AB and AC, finding their dot product, and determining their magnitudes, we can apply the cosine formula to find the cosine of angle A. Taking the inverse cosine (arccos) of the resulting value gives us the measure of angle A in degrees.

In the given case, angle A is approximately 95.59 degrees. This method allows us to determine the measure of an angle in a three-dimensional triangle using vector calculations and trigonometric functions.

To find the measure of angle A in triangle ABC, we can use the dot product formula:

cos(A) = (AB · AC) / (|AB| * |AC|)

where AB represents the vector from point A to point B and AC represents the vector from point A to point C.

First, let's calculate the vectors AB and AC:

AB = B - A = (5 - 1, -2 - 1, -5 - 7) = (4, -3, -12)

AC = C - A = (-2 - 1, 1 - 1, 3 - 7) = (-3, 0, -4)

Next, we calculate the dot product of AB and AC:

AB · AC = (4 * -3) + (-3 * 0) + (-12 * -4) = -12 + 0 + 48 = 36

Then, we calculate the magnitudes of AB and AC:

|AB| = √(4^2 + (-3)^2 + (-12)^2) = √(16 + 9 + 144) = √169 = 13

|AC| = √((-3)^2 + 0^2 + (-4)^2) = √(9 + 0 + 16) = √25 = 5

Now we can plug these values into the cosine formula:

cos(A) = (36) / (13 * 5) = 36 / 65

To find the measure of angle A, we can use the inverse cosine (arccos) function:

A = arccos(36 / 65) ≈ 95.59 degrees

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Can someone please help me

Can someone please help me

Answers

Answer:

hi

Step-by-step explanation:

PLS HELPPPP!!!!! WILL GIVE BRAINLIST!!!!!!!!!!

PLS HELPPPP!!!!! WILL GIVE BRAINLIST!!!!!!!!!!

Answers

Answer: C) y=-2+2

Step-by-step explanation: Rise over run says that the slope is -2 and the line hits the y axis at +2 so the equation would be y = -2 + 2.

At a garage sale, Petra priced her scooter for $15.50. She ended up selling it for $10.75. Find the percent of decrease in the price of the scooter. Round the percent to the nearest tenth if necessary.

Answers

Answer:

percent decrease is 30%

Step-by-step explanation:

Step one:

given data

Cost of scooter= $15.50

selling price= $10.75

Step two:

%decrease = Cost price-selling price/cost price

%decrease = (15.5-10.75/15.5)*100

%decrease =( 4.75/15.75)*100

%decrease = 0.30*100

%decrease =30%

therefore the percent decrease is 30%

Answer:

The percent of decrease in the price of the scooter is 30.6%.

Step-by-step explanation:

In order to calculate the percent of decrease, you have to divide the difference between the two numbers by the original number and multiply the result for 100:

% decrease=((10.75-15.50)/15.50)*100

% decrease=-0.306*100

% decrease= -30.6%

According to this, the answer is that the percent of decrease in the price of the scooter is 30.6%.

Multiply: -14(y+11)

Answers

Answer:

-14y -154

Step-by-step explanation:

Multiply -14 and y = -14y

Multiply -14 and 11 = -154

Answer:

\(-14\left(y+11\right)\)

\(=-14y+\left(-14\right)\cdot \:11\)

\(=-14y-14\cdot \:1\)

\(=-14y-154\)

OAmalOHopeO

if w=2x^2y 2xy^2 xyzw=2x 2 y 2xy 2 xyz and x y z=1x y z=1, compute \left(\partial w/\partial x\right)_y(∂w/∂x) y at the point where x=2x=2, and y=1y=1

Answers

The partial derivative is (∂w/∂x)_y = 48 at the point where x=2 and y=1.

How we find the partial derivative?

The given expression can be simplified as:

\(w = 4x^3y^3z^2\)

Taking the partial derivative of w with respect to x, while holding y constant, we get:

∂w/∂x = \(12x^2y^3z^2\)

Substituting x=2, y=1, and z=1, we get:

∂w/∂x = \(12(2)^2(1)^3(1)^2 = 48\)

we don't need to evaluate (∂w/∂x) y separately because (∂w/∂x)_y represents the partial derivative of w with respect to x, while holding y constant. Therefore, (∂w/∂x)_y is the same as (∂w/∂x) evaluated at y=1.

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there are 7 comedy DVDs, 4 mystery DVDs, and 4 documentary DVDs. what is t'he probability of randomly selecting a mystery DVD from the cabinet

Answers

The probability of randomly selecting a mystery DVD from the cabinet is 4/15

How to determine the probability

The total number of DVDs in the cabinet is:

7 (comedy DVDs) + 4 (mystery DVDs) + 4 (documentary DVDs) = 15 DVDs

The probability of randomly selecting a mystery DVD can be calculated as:

number of mystery DVDs / total number of DVDs

Substitute the known values in the above equation, so, we have the following representation

The probability of randomly selecting a mystery DVD i= 4/15

Hence, the probability is 4/15

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4•(2+5)^2 -5^2 how do I solve this?

Answers

Answer:

4•(2+5)^2 -5^2 = 171

Step-by-step explanation:

Do BIDMAS
(brackets, indices, division, multipy, add, sub)

so brackets
4*7^2-5^2
then do the indices
4*49-25
then the multiply
196-25
= 171
Hope this helps

Answer: Brackets => 4 x (7)^2 - 5^2
               Indices/Orders => 4 x 49 - 25

               Multiplication => 196 - 25

               Subtraction => 171

​Triangles ABC​ and DFG are similar.

Which proportion can be used to find the value of DG¯¯¯¯¯¯?


a 15/7=5/DG

b DG/15=5/7

c 5/7=15/DG

d 5/DG=15/6
Two triangles A B C and D F G. A B is 5 inches. B C is 6 inches. A C is 7 inches. D F is 15 inches. F G is 18 inches. Angle B is congruent to angle F.

Triangles ABC and DFG are similar.Which proportion can be used to find the value of DG?a 15/7=5/DGb DG/15=5/7c

Answers

Answer:

C

Step-by-step explanation:

Since every side of ΔABC is dilated by 3, or triple the size

We multiply every length of ΔABC by 3

But the length of DF and FG are already done for us but DG is not, which is essential to finding the answer

7 x 3 = 21

DG = 21

5/7 = 15/21

5 ÷ 7 = 0.71

15/21 = 0.71

5/7 = 15/21

Value of \(\boldsymbol{DG}\) in a triangle \(DFG\) is equal to \(\boldsymbol{21}\) inches. To understand the calculations, check below.

Define similar triangles.

Two triangles are said to be similar if their sides are proportional and their angles are equal.

Triangles \(ABC,DFG\) are similar

\(\frac{AB}{DF}=\frac{BC}{FG}=\frac{AC}{DG}\)

\(\frac{5}{15}=\frac{7}{DG}\)

\(DG=21\) inches

So, value of \(DG\) is equal to \(\boldsymbol{21}\) inches

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1.5z+4.5+6z-0.3-3z+z
Combine like terms to simplify each expression

Answers

Hey there!

1.5z + 4.5 + 6z - 0.3 - 3z + z

= 1.5z + 4.5 + 6z - 0.3 - 3z + 1z

COMBINE the LIKE TERMS

= (1.5z + 6z - 3z + 1z) + (4.5 - 0.3)

= (7.5z - 3z + 1z) + (4.5 - 0.3)

= (4.5z + 1z) + (4.5 - 0.3)

= (5.5z) + (4.5 - 0.3)

= 5.5z + (4.2)

= 5.5z + 4.2

Therefore, your answer is: 5.5z + 4.2

Good luck on your assignment and enjoy day!

~Amphitrite1040:)

PLZ HELP U GET 10 POINTS PLZZZZZ
Write 9 as a product of primes use index notation when giving answer what's the answer

Answers

Answer:

3x3 =9

3 is a prime number, 3x3=9

i only have 10 min :( please someone answer what type of triangle it is

i only have 10 min :( please someone answer what type of triangle it is

Answers

Answer:

The answer would be 60 first of all.

Step-by-step explanation:

Ok, this would be an Scalene triangle.

Answer:

Looks like a scalene triangle.

Step-by-step explanation:

If angle C is 70°, angle B2 is 60° Then angle D will be 50°. So it’s a Scalene triangle.

Which expression is the best estimate of the product of startfraction 7 over 8 endfraction and 8 and startfraction 1 over 10 endfraction?.

Answers

The best estimate of the product is b) 1 times 10.

The expression (7/8)8(1/10) can be simplified by canceling out the factor of 8 in the numerator and denominator. This yields the expression 7/10. Therefore, the best estimate of this expression would be 1 times 10, since 7/10 is closest to 1 when rounded to the nearest whole number, and 10 is the closest whole number to the denominator of 7/10.

Thus, the answer is option b, 1 times 10. It is important to note that when estimating products or other mathematical expressions, it is important to consider the context and choose an estimate that is reasonable and makes sense in the given situation.

Correct Question :

Which expression is the best estimate of the product of (7/8)8(1/10)?

a) 0 times 8

b) 1 times 10

c) 7 times 8

d) 1 times 8

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Which graph represents the inequality \(y < x^2-3\)?

Which graph represents the inequality \(y &lt; x^2-3\)?
Which graph represents the inequality \(y &lt; x^2-3\)?
Which graph represents the inequality \(y &lt; x^2-3\)?
Which graph represents the inequality \(y &lt; x^2-3\)?

Answers

The graph of the inequality is the first graph of the given ones.

Which graph represents the given inequality?

Here we have the following inequality:

y < x^2 -3

Notice that the symbol used is "<". This means that the points on the graph itself are not solutions, then the line must be a dashed line.

Also, y is smaller than the quadratic, then the shaded region must be bellow the parabola.

Finally, the y-intercept is -3, so we have the vertex at (0, -3)

From that, we conclude that the correct option is the first graph.

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Find the equation of a hyperbola satisfying the given conditions. Asymptotes y = 3 X, Y = -3 x: one vertex (3.0) The equation of the hyperbola is. (Type an equation. Type your answer in standard form.

Answers

The equation of the hyperbola satisfying the given conditions with asymptotes y = 3x and y = -3x, and one vertex at (3, 0) is given by (x-3)²/9 - (y-0)²/3 = 1.

To find the equation of the hyperbola, we first note that the asymptotes of the hyperbola are given by y = mx and y = -mx, where m is the slope of the asymptotes. Here, the slopes of the asymptotes are 3 and -3, so the equations of the asymptotes are y = 3x and y = -3x.

The general equation for a hyperbola centered at the origin with asymptotes y = mx and y = -mx is given by x²/a² - y²/b² = 1, where a and b are the distances from the center to the vertices along the x-axis and y-axis, respectively.

Since the given vertex is (3, 0), we can determine that the distance from the center to the vertex along the x-axis is a = 3.

Substituting these values into the general equation, we have (x-3)²/9 - y²/b² = 1.

To determine the value of b, we consider that the distance from the center to the asymptote along the y-axis is b/3. Since the asymptotes have a slope of 3 and -3, the distance from the center to the asymptote along the y-axis is 1/3 times the distance from the center to the vertex along the x-axis. Therefore, b = 3a = 9.

Substituting the value of b into the equation, we get (x-3)²/9 - y²/9 = 1.

Simplifying, we obtain (x-3)²/9 - (y-0)²/3 = 1.

Thus, the equation of the hyperbola satisfying the given conditions is (x-3)²/9 - (y-0)²/3 = 1.

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during winter, the average temperature inside your room is 70 degrees with standard deviation of 2 degrees. what is an upper bound of the probability that the temperature in your room deviates from the mean by at least 4 degrees?

Answers

For a sample of room temperature during winter, an upper bound of the probability that the temperature in your room deviates from the mean by at least 4 degrees is equals to the 0.25.

For a sample of temperature during winter, Average temperature of room

= 70 degree

Standard deviations = 2 degrees

We have to determine upper bound of the probability that the temperature in your room deviates from the mean by at least 4 degrees. According to chebyehev's theorem, \(P( | X - μ |≥ k σ ) ≤ \frac{ 1 }{k²} \).

here , σ = 2 , μ = 70, kσ = 4

=> k = 2

So, the required upper bound of probability is \(P( | X - μ |≥ k σ ) ≤ \frac{ 1 }{k²} \)

≤ \(\frac{ 1 }{2²} \)

≤ \(\frac{ 1 }{4} \)

= 0.25

Hence, required upper bound value is 0.25.

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A gardener who wants a rectangular garden whose lot perimeter is 40 meters is suggested by a fellow gardener a plan that would make it so that the build would have a maximum lot area. What could be the suggestion? You must answer in a mathematical solution. Show work.

Answers

Answer:

a*(20-a)

Step-by-step explanation:

Let's assume that the length of the garden is a the width is b and the area is s.

b = 40/2 - a = 20-a

s =a*(20-a)=-a^2+20a=-(a-10)^2+100

then,

when a=10, max(-(a-10)^2) =0, max(s)=100

LOTS OF POINTS, WILL GIVE BRAINLIEST!!!

LOTS OF POINTS, WILL GIVE BRAINLIEST!!!

Answers

Answer:

D

Step-by-step explanation:

I did the test

➡30 is correct answer➡option b is correct

\(\large\huge\green{\sf{Answer:-}}\)

since we know on straight line 180° is formedthen

➡90° +(x+x+x)= 180°

➡90° + 3x = 180°

➡3x= 180°-90°

➡3x= 90°

➡x = 90°/3= 30°

➡x= 30°

then in triangle sum of all angles = 180°

➡90°+x+y = 180°

➡90°+ 30° +y = 180°

➡120+y = 180°

➡y= 180°-120°

y = 60

now to find y-x = 60°-30°=30

➡30 is correct answer

➡option b is correct

Which of the following is not included in the cost of merchandise inventory? O Purchase discounts. O Purchase returns and allowances. O Purchase price of the inventory. O Freight costs paid by the seller. O Freight costs paid by the buyer. 4 pts 0 Question 2 Sunshine Cleaning purchased $3,500 worth of merchandise. The seller offered a 2% cash discount. Transportation costs for the buyer were an additional $310. The company returned $240 worth of merchandise and then paid the invoice within the discount period. The total cost of this merchandise is: O $3.570.00. O $3,500.00 O $3,332.00 O $3,430.00. $3,504.80 Question 5 A company has not sales of $759.300 and cost of goods sold of $548.300. Its not income is $10.280. The company's gross margin and operating expenses, respectively, are: O $211.000 and $230,750 $739.550 and $191,720 O $529,020 and $230.750 O $211.000 and $191,720 $230,750 and $529,020 4 pts D D Question 5 A company has not sales of $750,300 and cost of goods sold of $548,300. Its not income is $10.280 The company's groas margin and operating expenses, respectively, arm O $211,000 and $230,750 O $739,550 and $191,720 $529,020 and $230,750 O $211.000 and $191,720 O $230.750 and $529,020 Question 6 Sales less sales discounts, less sales returns and allowances equals: Cost of Goods Sold Net Income O Net Sales O Gross Profit 4 pts 4 pts Goods in transit are included in a purchaser's inventory: O At any time during transit. O After the half-way point between the buyer and seller, When the supplier is responsible for freight charges. When the goods are shipped FOB shipping point. OIf the goods are shipped FOB destination. Question 11 The inventory costing method that smooths out erratic changes in costs is: O LCM. O FIFO. OLIFO. O Specific Identification. O Weighted average. 4 t ne 0 Question 12 Krusty Krab has the following products in its ending inventory Compute lower of cost or market for inventory. applied separately to each product Inventory by Product Product Quantity Cost per Unit 500 $ 500 $ 30 600 Scuba Masks Scuba Sults O $265,000 O $290,000. O $250,000 $268,000 O $275,000. Question 13 Market per Unit $ 550 $ 25 If equity is $368,000 and liabilities are $186,000, then assets equal: O $554,000. $922,000. $368,000. $186,000. O $182,000. 2 pts

Answers

Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

What is the cost of merchandise inventory?

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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The participants in a research study are classified as high, medium, or low in self-esteem. what measurement scale is being used to classify self-esteem?

Answers

Participants in a research study are classified as having high, medium, or low self-esteem. The type of measurement scale being used to rate self-esteem is the ordinal scale.

What is an ordinal scale?

It corresponds to a measurement scale where there is a type of order between the variables, which are not differentiated by degree, that is, each variable represents qualitative data, being used to represent ideas, such as degree of satisfaction and happiness.

Therefore, ordinal scales are a variable measurement scale used to represent non-mathematical concepts, such as socioeconomic status and education level, being a widely used instrument for understanding important facts in society.

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Amana walks along oak from point a to b. to the nearest foot, how far does she walk? 75 ft 226 ft 307 ft 347 ft

Answers

Answer:

266

Step-by-step explanation:

Answer:226

Step-by-step explanation:

A runner is running a 10 km race. It takes her 17.5 minutes to reach the 2.5 km mark. at that rate, how long would it take her to run the whole race?

Answers

Answer:

time = 70 minutes

question the variable x represents the number of angelfish carlos bought and the variable y represents the number of parrotfish he bought. carlos bought 405 tropical fish for a museum display. he bought 8 times as many parrotfish as angelfish. how many of each type of fish did he buy? which system of equations models this problem?

Answers

Carlos buy 35 number of angelfish and 360 number of parrotfish.

What is solving an equation?

Unifying Principle for Equation Solving

By deleting parenthesis and grouping like terms, each side of the equation can be made simpler.

The variable term on one side of the equation can be separated using addition or subtraction.

To find the variable, use multiplication or division.

x represents the number of angelfish Carlos bought and the variable y represents the number of parrotfish he bought.

Carlos bought 405 tropical fish for a museum display.

x + y = 405            ..(1)

As he bought 8 times as many parrotfish as angelfish.

⇒ y = 8x                ..(2)

Plug y = 8x in equation (1)

x + 8x = 405

     9x = 405

       x = 45

Plug x = 45 in equation (2)

y = 8(45)

y = 360

Hence, Carlos bought 35 number of angelfish and 360 number of parrotfish.

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